I'm happy people have a crack at it, though disappointed it means I can't pick up a new exotic this weekend.
That being said, skull fort has infusion which heals from orbs. Raid helms have a chance to offer infusion. Light Beyond Nemesis has infusion.
Finally both times I have downed Crota hard on my Warlock I have not had infusion or red death equipped. Unless you are the sword bearer the health regen is not a problem.
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Exactly as long you don't take a hit in the crystal room you should finish the fight with close to or full health
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Most dangerous sections are running to the Ogre room and avoiding thrall though some classes have melee health regen. And then Boomers as you run back up the stairs to get to the crystal room. I thought no chalice was going to be a big deal until I did it, then realized it's not that bad.
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As long as you've a good team and things don't play up its not too bad
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I don't like having to swap exotics and I run Gjallarhorn for CE HM. If you are sword bearer it's great, you aren't using a RL anyways, and killing one thrall regens health. Everyone else has better options for health regen. either melee or infusion helmet.